A129174 - cp's OEIS frontend

A129174 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n such that the sum of the peak-abscissae is k (0 <= k <= n^2).

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	0
10	0
11	1
12	0
13	1
14	1
15	1
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	0
24	1
25	1
26	2
27	1
28	2
29	1
30	2
31	1
32	1
33	0
34	1
35	0
36	0
37	0
38	0
39	0
40	1
41	0
42	1
43	1
44	2
45	2
46	3
47	2
48	4
49	3
50	4
51	3
52	4
53	2
54	3
55	2
56	2
57	1
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	0
69	1
70	1
71	2
72	2
73	4
74	3
75	5
76	5
77	7
78	6
79	9
80	7
81	9
82	8
83	9
84	7
85	9
86	6
87	7
88	5
89	5
90	3
91	4
92	2
93	2
94	1
95	1
96	0
97	1
98	0
99	0
100	0
101	0
102	0
103	0
104	0

[1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 3, 2, 4, 3, 4, 3, 4, 2, 3, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 4, 3, 5, 5, 7, 6, 9, 7, 9, 8, 9, 7, 9, 6, 7, 5, 5, 3, 4, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]

cp's OEIS Frontend

A129174 Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n such that the sum of the peak-abscissae is k (0 <= k <= n^2).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	0
10	0
11	1
12	0
13	1
14	1
15	1
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	0
24	1
25	1
26	2
27	1
28	2
29	1
30	2
31	1
32	1
33	0
34	1
35	0
36	0
37	0
38	0
39	0
40	1
41	0
42	1
43	1
44	2
45	2
46	3
47	2
48	4
49	3
50	4
51	3
52	4
53	2
54	3
55	2
56	2
57	1
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	0
69	1
70	1
71	2
72	2
73	4
74	3
75	5
76	5
77	7
78	6
79	9
80	7
81	9
82	8
83	9
84	7
85	9
86	6
87	7
88	5
89	5
90	3
91	4
92	2
93	2
94	1
95	1
96	0
97	1
98	0
99	0
100	0
101	0
102	0
103	0
104	0

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	0
10	0
11	1
12	0
13	1
14	1
15	1
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	0
24	1
25	1
26	2
27	1
28	2
29	1
30	2
31	1
32	1
33	0
34	1
35	0
36	0
37	0
38	0
39	0
40	1
41	0
42	1
43	1
44	2
45	2
46	3
47	2
48	4
49	3
50	4
51	3
52	4
53	2
54	3
55	2
56	2
57	1
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	0
69	1
70	1
71	2
72	2
73	4
74	3
75	5
76	5
77	7
78	6
79	9
80	7
81	9
82	8
83	9
84	7
85	9
86	6
87	7
88	5
89	5
90	3
91	4
92	2
93	2
94	1
95	1
96	0
97	1
98	0
99	0
100	0
101	0
102	0
103	0
104	0

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	0
10	0
11	1
12	0
13	1
14	1
15	1
16	0
17	1
18	0
19	0
20	0
21	0
22	1
23	0
24	1
25	1
26	2
27	1
28	2
29	1
30	2
31	1
32	1
33	0
34	1
35	0
36	0
37	0
38	0
39	0
40	1
41	0
42	1
43	1
44	2
45	2
46	3
47	2
48	4
49	3
50	4
51	3
52	4
53	2
54	3
55	2
56	2
57	1
58	1
59	0
60	1
61	0
62	0
63	0
64	0
65	0
66	0
67	1
68	0
69	1
70	1
71	2
72	2
73	4
74	3
75	5
76	5
77	7
78	6
79	9
80	7
81	9
82	8
83	9
84	7
85	9
86	6
87	7
88	5
89	5
90	3
91	4
92	2
93	2
94	1
95	1
96	0
97	1
98	0
99	0
100	0
101	0
102	0
103	0
104	0